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345832229950056 = 233223533940299767
BaseRepresentation
bin100111010100010000101011…
…1001101111101001001101000
31200100111020102201110120100100
41032220201113031331021220
5330312103401331400211
63223305044433105400
7132562361023256043
oct11650412715751150
91610436381416310
10345832229950056
11a0213696a85303
123295472a0b8260
1311ac7abb091c65
14615852529dc5a
1529ead5384e156
hex13a885737d268

345832229950056 has 96 divisors (see below), whose sum is σ = 995792557368960. Its totient is φ = 108184870375296.

The previous prime is 345832229950043. The next prime is 345832229950057. The reversal of 345832229950056 is 650059922238543.

It is a happy number.

345832229950056 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 32 + 2 + 2 + 99 + 500 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 345832229949975 and 345832229950002.

It is not an unprimeable number, because it can be changed into a prime (345832229950057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1970062116 + ... + 1970237651.

It is an arithmetic number, because the mean of its divisors is an integer number (10372839139260).

Almost surely, 2345832229950056 is an apocalyptic number.

345832229950056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345832229950056 is an abundant number, since it is smaller than the sum of its proper divisors (649960327418904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345832229950056 is a wasteful number, since it uses less digits than its factorization.

345832229950056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940299855 (or 3940299848 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 345832229950056 in words is "three hundred forty-five trillion, eight hundred thirty-two billion, two hundred twenty-nine million, nine hundred fifty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 53 69 72 92 106 138 159 184 207 212 276 318 414 424 477 552 636 828 954 1219 1272 1656 1908 2438 3657 3816 4876 7314 9752 10971 14628 21942 29256 43884 87768 3940299767 7880599534 11820899301 15761199068 23641798602 31522398136 35462697903 47283597204 70925395806 90626894641 94567194408 141850791612 181253789282 208835887651 271880683923 283701583224 362507578564 417671775302 543761367846 626507662953 725015157128 815642051769 835343550604 1087522735692 1253015325906 1631284103538 1670687101208 1879522988859 2175045471384 2506030651812 3262568207076 3759045977718 4803225415973 5012061303624 6525136414152 7518091955436 9606450831946 14409676247919 15036183910872 19212901663892 28819352495838 38425803327784 43229028743757 57638704991676 86458057487514 115277409983352 172916114975028 345832229950056